1521434880 has 576 divisors, whose sum is σ = 6514636800. Its totient is φ = 328458240.

The previous prime is 1521434867. The next prime is 1521434881. The reversal of 1521434880 is 884341251.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×1521434880² = 4629528188161228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1521434881) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4596315 + ... + 4596645.

Almost surely, 2^1521434880 is an apocalyptic number.

1521434880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1521434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3257318400).

1521434880 is an abundant number, since it is smaller than the sum of its proper divisors (4993201920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1521434880 is a wasteful number, since it uses less digits than its factorization.

1521434880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1521434880 is about 39005.5749861478. The cubic root of 1521434880 is about 1150.1410992593.

The spelling of 1521434880 in words is "one billion, five hundred twenty-one million, four hundred thirty-four thousand, eight hundred eighty".